963108864 has 84 divisors (see below), whose sum is σ = 2782357656. Its totient is φ = 321011712.

The previous prime is 963108859. The next prime is 963108907. The reversal of 963108864 is 468801369.

963108864 is a `hidden beast` number, since 9 + 631 + 0 + 8 + 8 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67197 + ... + 80259.

Almost surely, 2^963108864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 963108864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391178828).

963108864 is an abundant number, since it is smaller than the sum of its proper divisors (1819248792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

963108864 is a wasteful number, since it uses less digits than its factorization.

963108864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13095 (or 13068 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 963108864 is about 31033.9952954820. The cubic root of 963108864 is about 987.5485597869.

The spelling of 963108864 in words is "nine hundred sixty-three million, one hundred eight thousand, eight hundred sixty-four".